Resonant scattering of solitons

Details Resonant scattering of solitons Resonant scattering of solitons

2003-05-17

arxiv.org/abs/cond-mat/0305410v1

Chaos 13, 874-879 (2003)

Physics

Condensed Matter

Soft Condensed Matter

7 pages, 6 figures

Scientific paper

10.1063/1.1597071

We study the scattering of solitons in the nonlinear Schroedinger equation on local inhomogeneities which may give rise to resonant transmission and reflection. In both cases, we derive resonance conditions for the soliton's velocity. The analytical predictions are tested numerically in regimes characterized by various time scales. Special attention is paid to intermode interactions and their effect on coherence, decoherence and dephasing of plane-wave modes which build up the soliton.

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